Find the LCM of 512, 435, 656, 725 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 512, 435, 656, 725. So, keep reading to learn more.
Given numbers are 512,435,656,725
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 512,435,656,725 is 45657600.
Find LCM of 512,435,656,725 with Prime Factorization
2 | 512, 435, 656, 725 |
2 | 256, 435, 328, 725 |
2 | 128, 435, 164, 725 |
2 | 64, 435, 82, 725 |
5 | 32, 435, 41, 725 |
29 | 32, 87, 41, 145 |
32, 3, 41, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 29 x 32 x 3 x 41 x 5 = 45657600
Therefore, the lowest common multiple of 512,435,656,725 is 45657600.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
512 x 435 x 656 x 725 = 105925632000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
435 : 1, 3, 5, 15, 29, 87, 145, 435
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
725 : 1, 5, 25, 29, 145, 725
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,435,656,725, is 1.
Now, the common factors can be found like this.
512:2x 2x 2x 2x 2x 2x 2x 2x 2
435:3x 5x 29
656:2x 2x 2x 2x 41
725:5x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 29 = 2320
Therefore, the value for common factors is 2320.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 105925632000/(1x2320)
LCM = 105925632000/2320
LCM = 45657600
Thus, we can understand that the LCM of 512,435,656,725 is 45657600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 512, 435, 656, 725?
Answer: LCM of 512, 435, 656, 725 is 45657600.
2. How to calculate the LCM of 512, 435, 656, 725?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 512, 435, 656, 725.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.